POINTWISE MULTIPLIERS OF DIRICHLET TYPE SPACES ON THE UNIT BALL OF C^n 被引量：1

POINTWISE MULTIPLIERS OF DIRICHLET TYPE SPACES ON THE UNIT BALL OF C^n

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摘要 In this paper, we establish a criterion for a holomorphic function to be a pointwise multiplier of Dirichlet type spaces, and use this criterion to consider the inclusion relations among M(Dr), α-Bloch spaces and Qp spaces. In this paper, we establish a criterion for a holomorphic function to be a pointwise multiplier of Dirichlet type spaces, and use this criterion to consider the inclusion relations among M(Dr), α-Bloch spaces and Qp spaces.

作者 FENG Shaoji (Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080 Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China)

出处《Journal of Systems Science & Complexity》 SCIE EI CSCD 2001年第3期306-310,共5页 系统科学与复杂性学报（英文版）

关键词 DIRICHLET TYPE SPACES POINTWISE multipliers inclusion relation. Dirichlet type spaces, pointwise multipliers, inclusion relation.

分类号 O177 [理学—基础数学]

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参考文献2

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2Peng Yan HU Department of Mathematics. Normal College of Shenzhen University. Shenzhen. Guangdong 518060. P. R. China Ji Huai SHI Department of Mathematics. University of Science and Technology of China. Hefei. Anhui 230026, P. R. China.Multipliers on Dirichlet Type Spaces[J].Acta Mathematica Sinica,English Series,2001,17(2):263-272. 被引量：23

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共引文献23

1刘竟成,张学军.Dirichlet型空间的Carleson测度和乘子[J].高校应用数学学报（A辑）,2008,23(4):492-500.
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同被引文献4

1李波,欧阳才衡.ON DIRICHLET TYPE SPACES AND α-BLOCH SPACES IN THE UNIT BALL OF C^n[J].Acta Mathematica Scientia,2004,24(4):645-654. 被引量：1
2杨微生.SOME CHARACTERIZATIONS OF α-BLOCH SPACES ON THE UNIT BALL OF C^n[J].Acta Mathematica Scientia,1997,17(4):471-477. 被引量：2
3卓文新,杨微生.Bloch型函数关于径向导数的积分判据[J].数学物理学报（A辑）,1998,18(4):451-458. 被引量：14
4张学军,王敏.C^n中超球上p-Bloch空间的点乘子[J].数学研究,2001,34(2):158-163. 被引量：15

引证文献1

1彭茹,欧阳才衡.C^n单位球上Q_p空间的点态乘子[J].数学物理学报（A辑）,2005,25(6):821-831.

1Peng Yan HU Department of Mathematics. Normal College of Shenzhen University. Shenzhen. Guangdong 518060. P. R. China Ji Huai SHI Department of Mathematics. University of Science and Technology of China. Hefei. Anhui 230026, P. R. China.Multipliers on Dirichlet Type Spaces[J].Acta Mathematica Sinica,English Series,2001,17(2):263-272. 被引量：23
2吕小芬.EXTENDED CESRO OPERATORS AND MULTIPLIERS ON BMOA[J].Acta Mathematica Scientia,2012,32(2):559-567. 被引量：1
3林海波,杨大春.POINTWISE MULTIPLIERS FOR LOCALIZED MORREY-CAMPANATO SPACES ON RD-SPACES[J].Acta Mathematica Scientia,2014,34(6):1677-1694. 被引量：2
4张学军,赵茜.The Pointwise Multipliers From Space F(p, g, s) to Bloch Type Space in Cn[J].数学进展,2004,33(1):125-127. 被引量：2
5徐景实,杨大春.APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES[J].Acta Mathematica Scientia,2003,23(3):328-338. 被引量：11
6LIYing-kui LIUPei-de.Vector-Valued Dirichlet-Type Functions on the Unit Ball of C^n[J].Wuhan University Journal of Natural Sciences,2005,10(3):499-503. 被引量：1
7ZengJianLOU,DaoJinSONG.Multipliers and Cyclic Vectors in Bloch Type Spaces[J].Acta Mathematica Sinica,English Series,2003,19(1):79-88. 被引量：9
8彭茹,吴悠,邓方文.CARLESON MEASURES,RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p,q,s)SPACES IN THE UNIT BALL OF C^n[J].Acta Mathematica Scientia,2016,36(3):635-654. 被引量：3

Journal of Systems Science & Complexity

2001年第3期

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